Question #b7f35

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A08
Jul 13, 2016

We know that kinetic energy in Newtonian mechanics is given by the expression

#KE=1/2mv^2# .......(1)
Keeping the mass #m# constant and tripling the velocity #v# changes the kinetic energy of the body to
#KE_"new"=1/2m(3v)^2#
#=>KE_"new"=1/2mxx9v^2#
This can be rewritten as
#=>KE_"new"=9xx(1/2mv^2)#
Recognizing that quantity within the brackets is the original #KE# as in equation (1), we may write it as
#KE_"new"=9xxKE#

#=># New Kinetic energy is nine times the original kinetic energy.

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